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Finding the Fourth Proportional to 1,005.66, 1,508.30 and 275.14

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Solution

The fourth proportional to 1,005.66, 1,508.30 and 275.14 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.66 : 1,508.30 = 275.14 : x
  2. Step 2: Convert to fraction form
    1,005.66/1,508.30 = 275.14/x
  3. Step 3: Cross multiply
    1,005.66x = 1,508.30 × 275.14
  4. Step 4: Simplify right side
    1,005.66x = 414,988.52
  5. Step 5: Solve for x
    x = 414,988.52/1,005.66
  6. Step 6: Final answer
    x = 412.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.